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Book Categories |
Preface to the 1st Edition | ||
Preface to the 2nd Edition | ||
1 | Commutative rings and subrings | 1 |
2 | Ideals | 18 |
3 | Prime ideals and maximal ideals | 37 |
4 | Primary decomposition | 61 |
5 | Rings of fractions | 80 |
6 | Modules | 101 |
7 | Chain conditions on modules | 123 |
8 | Commutative Noetherian rings | 145 |
9 | More module theory | 167 |
10 | Modules over principal ideal domains | 185 |
11 | Canonical forms for square matrices | 208 |
12 | Some applications to field theory | 220 |
13 | Integral dependence on subrings | 243 |
14 | Affine algebras over fields | 264 |
15 | Dimension theory | 288 |
16 | Regular sequences and grade | 311 |
17 | Cohen-Macaulay rings | 328 |
Bibliography | 345 | |
Index | 347 |
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